123013103141133 has 20 divisors (see below), whose sum is σ = 183760901749788. Its totient is φ = 82008473379840.

The previous prime is 123013103141119. The next prime is 123013103141191. The reversal of 123013103141133 is 331141301310321.

123013103141133 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 310 + 314 + 1 + 1 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19678823510724 + 103334279630409 = 4436082^2 + 10165347^2 .

It is not a de Polignac number, because 123013103141133 - 2⁴² = 118615056630029 is a prime.

It is a super-2 number, since 2×123013103141133² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123013103141097 and 123013103141106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013103141633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24978253 + ... + 29494733.

Almost surely, 2^{123013103141133} is an apocalyptic number.

It is an amenable number.

123013103141133 is a deficient number, since it is larger than the sum of its proper divisors (60747798608655).

123013103141133 is an equidigital number, since it uses as much as digits as its factorization.

123013103141133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852746 (or 4852737 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 123013103141133 its reverse (331141301310321), we get a palindrome (454154404451454).

The spelling of 123013103141133 in words is "one hundred twenty-three trillion, thirteen billion, one hundred three million, one hundred forty-one thousand, one hundred thirty-three".